A variant of the primitive element theorem for separable extensions of a commutative ring

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Bagio, D., Paques, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154618
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A variant of the primitive element theorem for separable extensions of a commutative ring / D. Bagio, A. Paques // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 20–26. — Бібліогр.: 12 назв. — англ.

In this article we show that any strongly separable extension of a commutative ring R can be embedded into another one having primitive element whenever every boolean localization of R modulo its Jacobson radical is von Neumann regular and locally uniform.